6417627216 has 240 divisors, whose sum is σ = 22658424768. Its totient is φ = 1538611200.

The previous prime is 6417627137. The next prime is 6417627221. The reversal of 6417627216 is 6127267146.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 326796 + ... + 345876.

Almost surely, 2^6417627216 is an apocalyptic number.

6417627216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417627216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11329212384).

6417627216 is an abundant number, since it is smaller than the sum of its proper divisors (16240797552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6417627216 is a wasteful number, since it uses less digits than its factorization.

6417627216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130 (or 19117 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 6417627216 is about 80110.0943452197. The cubic root of 6417627216 is about 1858.3385186036.

The spelling of 6417627216 in words is "six billion, four hundred seventeen million, six hundred twenty-seven thousand, two hundred sixteen".